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Finding the Fourth Proportional to 7,871.47, 10,862.57 and 5,863.88

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Solution

The fourth proportional to 7,871.47, 10,862.57 and 5,863.88 is: 8,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.47 : 10,862.57 = 5,863.88 : x
  2. Step 2: Convert to fraction form
    7,871.47/10,862.57 = 5,863.88/x
  3. Step 3: Cross multiply
    7,871.47x = 10,862.57 × 5,863.88
  4. Step 4: Simplify right side
    7,871.47x = 63,696,848.79
  5. Step 5: Solve for x
    x = 63,696,848.79/7,871.47
  6. Step 6: Final answer
    x = 8,092.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.